Western National Bank is considering opening a drive-through window for customer service. Management estimates that customers will arrive at the rate of 15 per hour. The teller who will staff the window can service customers at the rate of one every three minutes. Part 1 Assuming Poisson arrivals and exponential service, find 1. Utilization of the teller. 2. Average number in the waiting line. 3. Average number in the system. 4. Average waiting time in line. 5. Average waiting time in the system, including service.

Part 2 Because of limited space availability and a desire to provide an acceptable level of service, the bank manager would like to ensure, with 95 percent confidence, that no more than three cars will be in the system at any time. What is the present level of service for the three-car limit? What level of teller use must be attained and what must be the service rate of the teller to ensure the 95 percent level of service?